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Solution

Given classless address:

$167.199.170.82/27$

Here, prefix length is:

$27$

In IPv4, total bits are:

$32$

So, host bits are:

$32-27=5$

Number of addresses in the network is:

$2^{host\ bits}$

$=2^5$

$=32$

So, total number of addresses in this network is $32$.

Note: Usable host addresses would be $30$, but the question asks total number of addresses in the network.